Calculator Online

Home AI Chat AI Math Solver

NEW

Tools ▾ Category ▾

Pricing Sign In

Calculator Online

Your Result is copied!

Photon Energy Calculator

Write down the wavelength and frequency of the particle to calculate its photon energy using this calculator.

Note:Please enter Wavelength or Frequency to calculate Photon Energy.

Frequency (λ):

Å ▾

Wavelength (f):

Hz ▾

Related

An online photon energy calculator that allows you to calculate the energy of a photon from its wavelength (λ) or frequency (f). This tool helps you explore the relationship between wavelength, frequency, and photon energy using Planck’s equation. Below, you’ll learn the formula, step-by-step manual calculations, and important concepts related to photon energy.

What is Planck's Equation?

Light travels in discrete packets of energy called photons. The energy carried by a single photon is known as photon energy. This energy is:

Directly proportional to its frequency
Inversely proportional to its wavelength

This relationship was described by Max Planck and is expressed as:

$$ E = h \cdot f = \frac{h \cdot c}{\lambda} $$

Where:

E = Energy of the photon (Joules)
h = Planck’s constant
f = Frequency of the photon (Hz)
c = Speed of light in vacuum
λ = Wavelength of the photon (meters)

Constants used:

Planck’s constant: h = 6.6261 × 10⁻³⁴ J·s
Speed of light: c = 2.99792458 × 10⁸ m/s

Our calculator automatically uses these precise constants to provide accurate results instantly.

How to Find the Energy of a Photon Manually (Step-by-Step)

You can calculate photon energy manually if you know either the wavelength or the frequency.

Identify the given value (wavelength λ or frequency f).
If frequency is known, use: E = h × f.
If wavelength is known, use: E = h × c / λ.
Substitute known values and calculate the result in joules.

Example:

Find the energy of a photon with a wavelength of 10 m.

Solution:

Using:

$$ E = \frac{h \cdot c}{\lambda} $$

Substitute the values:

λ = 10 m
h = 6.6261 × 10⁻³⁴ J·s
c = 2.99792458 × 10⁸ m/s

$$ E = \frac{(6.6261 \times 10^{-34}) (2.99792458 \times 10^{8})}{10} $$

$$ E \approx \frac{1.986 \times 10^{-25}}{10} $$

$$ E \approx 1.986 \times 10^{-26} \ \text{J} $$

This is the energy of a single photon with a wavelength of 10 meters.

How to Use the Online Photon Energy Calculator:

Input:

Enter the wavelength (meters) or frequency (Hz).
Click Calculate.

Output:

The calculator provides:

Photon energy in:
1. Joules (J)
2. Electron Volts (eV)
3. Kilo Electron Volts (keV)
4. Mega Electron Volts (MeV)
5. Milli Electron Volts (meV)
6. Micro Electron Volts (µeV)
7. Nano Electron Volts (neV)
Photon frequency (if wavelength is entered)
Photon wavelength (if frequency is entered)

Because Planck’s constant is extremely small, photon energy values are usually very small in joules. Therefore, electron volts (eV) are commonly used in physics and chemistry.

Frequently Asked Questions (FAQs)

How much energy is in a photon?

Photon energy depends on frequency:

$$ E = h \cdot f $$

For visible light, photon energy is typically around 10⁻¹⁹ joules or a few electron volts (eV).

What happens when photon energy increases?

Since:

$$ E = \frac{h \cdot c}{\lambda} $$

If energy increases → frequency increases.
If energy increases → wavelength decreases.

Higher energy photons include ultraviolet rays, X-rays, and gamma rays.

How do you calculate the energy of one mole of photons?

To calculate the energy of one mole of photons:

$$ E = N_A \cdot h \cdot f = \frac{N_A \cdot h \cdot c}{\lambda} $$

Where:

N_A = Avogadro’s number (6.022 × 10²³ mol⁻¹)
h = Planck’s constant
c = Speed of light
λ = Wavelength

What happens if the wavelength is doubled?

Since energy is inversely proportional to wavelength:

If wavelength doubles → photon energy becomes half of its original value.

Final Words:

The photon energy equation forms the foundation of quantum mechanics and modern physics. Whether you calculate manually using Planck’s equation or use our online photon energy calculator, understanding the relationship between energy, frequency, and wavelength is essential in physics, chemistry, and engineering.

References:

From Wikipedia: General overview and definition of photon energy.
From ScienceDirect: Explanation of Planck’s equation.
From Britannica: Detailed discussion of Planck’s constant.

Related

Calculator Online

Get the ease of calculating anything from the source of calculator online

Links

Home Conversion Calculator About Calculator Online Blog Hire Us Knowledge Base Sitemap Sitemap Two

Support

Email us at